104875344 has 160 divisors (see below), whose sum is σ = 349184000. Its totient is φ = 29517696.

The previous prime is 104875343. The next prime is 104875357. The reversal of 104875344 is 443578401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104875299 and 104875308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104875343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238677 + ... + 239115.

It is an arithmetic number, because the mean of its divisors is an integer number (2182400).

Almost surely, 2^104875344 is an apocalyptic number.

104875344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104875344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174592000).

104875344 is an abundant number, since it is smaller than the sum of its proper divisors (244308656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104875344 is a wasteful number, since it uses less digits than its factorization.

104875344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 104875344 is about 10240.8663695998. The cubic root of 104875344 is about 471.5826292251.

The spelling of 104875344 in words is "one hundred four million, eight hundred seventy-five thousand, three hundred forty-four".